| A | B | C |
|---|---|---|
| 59 | 59 | 0 |
| 60 | 58 | 0 |
| 60 | 60 | 1 |
| 59 | 59 | 3 |
Session 1
9 September, 2025
Purpose
There is a disparity between the resources controlled by each role
\[A > B > C\]
For this reason, roles must be randomly assigned to ensure fairness
| A | B | C |
|---|---|---|
| 59 | 59 | 0 |
| 60 | 58 | 0 |
| 60 | 60 | 1 |
| 59 | 59 | 3 |
| A | B | C |
|---|---|---|
| 121/3 | 121/3 | 121/3 |
| 41 | 40 | 40 |
| 43 | 40 | 38 |
| A | B | C |
|---|---|---|
| 60 | 40 | 21 |
| 50 | 40 | 31 |
Other agreements
A: 59, B: 59
Counter offer by C: A: 60, C: 24
Counter offer by B: A: 61, B: 57
Counter offer by C: A: 62, A: 22
It is possible to prove that in this game any coalition can be brake
Benthamite social welfare function
\[\max \frac{1}{n}G_1 + \cdots \frac{1}{n}G_n = \max \sum_{i = 1}^n \frac{1}{n}G_i\]
Rawlsian social welfare function
\[\max \min \{ G_1, \ldots, G_m \}\]
To my family that supports me
To the taxpayers of Colombia and the UMNG students who pay my salary
To the Business Science and R4DS Online Learning communities where I learn R and \(\pi\)-thon
To the R Core Team, the creators of RStudio IDE, Positron, Quarto and the authors and maintainers of the packages tidyverse, gt and tinytex for allowing me to access these tools without paying for a license
Less common agreement